Quadratic Gauss sums over finite commutative rings

DOI10.1006/jnth.2001.2752zbMath1016.11056OpenAlexW1973524532MaRDI QIDQ696921

Fernando Szechtman

Publication date: 12 September 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2001.2752

zbMATH Keywords

quadratic Gauss sumsfinite commutative rings

Mathematics Subject Classification ID

Other character sums and Gauss sums (11T24)

Related Items (4)

A generalized Weil representation for \(\text{SL}_*(2,A_m)\), where \(A_m=\mathbb{F}_q[x\langle x^m\rangle\).] ⋮ Generators and relations for the unitary group of a skew Hermitian form over a local ring ⋮ Gauss optics and Gauss sum on an optical phenomena ⋮ Kloosterman sums over finite Frobenius rings

Cites Work

• Weil representations of unitary groups
• The arithmetic theory of local Galois Gauss sums for tame characters
• Character fields and Schur indices of irreducible Weil characters
• Weil Representations of Symplectic Groups Over Rings
• Allgemeine Theorie der Gaußschen Summen in endlichen kommutativen Ringen
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